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If (f(x)=\frac{1}{x^2-4}) and (g(x)=\frac{1}{x-2}), what is the domain of ((f-g)(x))?यदि (f(x)=\frac{1}{x^2-4}) और (g(x)=\frac{1}{x-2}) हों, तो ((f-g)(x)) का प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \mathbb{R}\setminus{-2,2} )( \mathbb{R}\setminus{-2,2} )
The first function gives (x^2-4\ne 0), so (x\ne \pm2), and the second gives (x\ne 2). The common domain is ( \mathbb{R}\setminus{-2,2} ).पहले फलन में (x^2-4\ne 0) से (x\ne \pm2), और दूसरे में (x\ne 2)। संयुक्त प्रांत ( \mathbb{R}\setminus{-2,2} ) है।
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